LCM of 480, 939, 311, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 939, 311, 504 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 480, 939, 311, 504. So, keep reading to learn more.
Given numbers are 480,939,311,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,939,311,504 is 981217440.
Find LCM of 480,939,311,504 with Prime Factorization
| 2 | 480, 939, 311, 504 |
| 2 | 240, 939, 311, 252 |
| 2 | 120, 939, 311, 126 |
| 3 | 60, 939, 311, 63 |
| 20, 313, 311, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 20 x 313 x 311 x 21 = 981217440
Therefore, the lowest common multiple of 480,939,311,504 is 981217440.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
480 x 939 x 311 x 504 = 70647655680
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
939 : 1, 3, 313, 939
311 : 1, 311
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,939,311,504, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
939:3x 313
311:311
504:2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3 = 72
Therefore, the value for common factors is 72.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 70647655680/(1x72)
LCM = 70647655680/72
LCM = 981217440
Thus, we can understand that the LCM of 480,939,311,504 is 981217440.
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FAQs on LCM of 480, 939, 311, 504
1. What is the LCM of 480, 939, 311, 504?
Answer: LCM of 480, 939, 311, 504 is 981217440.
2. How to calculate the LCM of 480, 939, 311, 504?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 480, 939, 311, 504.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.